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Effects of expectation and noise on evolutionary games

Author

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  • Du, Wen-Bo
  • Cao, Xian-Bin
  • Hu, Mao-Bin
  • Yang, Han-Xin
  • Zhou, Hong

Abstract

Considering the difference between the actual and expected payoffs, we bring a stochastic learning updating rule into an evolutionary Prisoners Dilemma game and the Snowdrift game on scale-free networks, and then investigate how the expectation level A and environmental noise κ influence cooperative behavior. Interestingly, numerical results show that the mechanism of promoting cooperation exhibits a resonance-like fashion including the coaction of A, κ and the payoff parameters. High cooperator frequency is induced by some optimal parameter regions. The variation of time series has also been investigated. This work could be of particular interest in the evolutionary game dynamics of biological and social systems.

Suggested Citation

  • Du, Wen-Bo & Cao, Xian-Bin & Hu, Mao-Bin & Yang, Han-Xin & Zhou, Hong, 2009. "Effects of expectation and noise on evolutionary games," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(11), pages 2215-2220.
    • Handle: RePEc:eee:phsmap:v:388:y:2009:i:11:p:2215-2220
    DOI: 10.1016/j.physa.2009.02.012
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    Citations

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    Cited by:

    1. Hu, Xiang & Liu, Xingwen, 2021. "Unfixed-neighbor-mechanism promotes cooperation in evolutionary snowdrift game on lattice," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 572(C).
    2. Ping Zhu & Guiyi Wei, 2014. "Stochastic Heterogeneous Interaction Promotes Cooperation in Spatial Prisoner's Dilemma Game," PLOS ONE, Public Library of Science, vol. 9(4), pages 1-10, April.
    3. Cheng, Xiu & Long, Ruyin & Chen, Hong & Yang, Jiahui, 2019. "Does social interaction have an impact on residents’ sustainable lifestyle decisions? A multi-agent stimulation based on regret and game theory," Applied Energy, Elsevier, vol. 251(C), pages 1-1.
    4. Wang, Le & Chen, Tong & You, Xinshang & Wang, Yongjie, 2018. "The effect of wealth-based anti-expectation behaviors on public cooperation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 493(C), pages 84-93.
    5. Chen, Zhuo & Gao, Jianxi & Cai, Yunze & Xu, Xiaoming, 2011. "Evolution of cooperation among mobile agents," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(9), pages 1615-1622.
    6. Wang, Le & Chen, Tong & Wu, Zhenghong, 2021. "Promoting cooperation by reputation scoring mechanism based on historical donations in public goods game," Applied Mathematics and Computation, Elsevier, vol. 390(C).
    7. Xiaochao Wei & Yanfei Zhang & Qi Liao & Guihua Nie, 2022. "Multi-Agent Simulation of Product Diffusion in Online Social Networks from the Perspective of Overconfidence and Network Effects," Sustainability, MDPI, vol. 14(11), pages 1-18, May.
    8. Xia, Chengyi & Wang, Juan & Wang, Li & Sun, Shiwen & Sun, Junqing & Wang, Jinsong, 2012. "Role of update dynamics in the collective cooperation on the spatial snowdrift games: Beyond unconditional imitation and replicator dynamics," Chaos, Solitons & Fractals, Elsevier, vol. 45(9), pages 1239-1245.
    9. Chen, Zhuo & Gao, Jianxi & Cai, Yunze & Xu, Xiaoming, 2011. "Evolutionary prisoner’s dilemma game in flocks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(1), pages 50-56.
    10. Wang, Zhen & Wu, Bin & Li, Ya-peng & Gao, Hang-xian & Li, Ming-chu, 2013. "Does coveting the performance of neighbors of thy neighbor enhance spatial reciprocity?," Chaos, Solitons & Fractals, Elsevier, vol. 56(C), pages 28-34.
    11. Zhang, Lan & Xie, Yuan & Huang, Changwei & Li, Haihong & Dai, Qionglin, 2020. "Heterogeneous investments induced by historical payoffs promote cooperation in spatial public goods games," Chaos, Solitons & Fractals, Elsevier, vol. 133(C).
    12. Lin, Hai & Yang, Dong-Ping & Shuai, J.W., 2011. "Cooperation among mobile individuals with payoff expectations in the spatial prisoner’s dilemma game," Chaos, Solitons & Fractals, Elsevier, vol. 44(1), pages 153-159.
    13. Chu, Chen & Zhai, Yao & Mu, Chunjiang & Hu, Die & Li, Tong & Shi, Lei, 2019. "Reputation-based popularity promotes cooperation in the spatial prisoner's dilemma game," Applied Mathematics and Computation, Elsevier, vol. 362(C), pages 1-1.

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